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Finding the Fourth Proportional to 723.75, 1,083.11 and 627.40

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Solution

The fourth proportional to 723.75, 1,083.11 and 627.40 is: 938.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.75 : 1,083.11 = 627.40 : x
  2. Step 2: Convert to fraction form
    723.75/1,083.11 = 627.40/x
  3. Step 3: Cross multiply
    723.75x = 1,083.11 × 627.40
  4. Step 4: Simplify right side
    723.75x = 679,543.21
  5. Step 5: Solve for x
    x = 679,543.21/723.75
  6. Step 6: Final answer
    x = 938.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.